Phillips symmetric operators and functional calculus of maximal symmetric operators

DOI10.1007/s43034-023-00266-0OpenAlexW4360853946MaRDI QIDQ6040497

Sergei Kuzhel, Anna Różańska

Publication date: 17 May 2023

Published in: Annals of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s43034-023-00266-0

zbMATH Keywords

inner functionfunctional calculusunilateral shiftmaximal symmetric operatornon-cyclic vectors

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) Linear symmetric and selfadjoint operators (unbounded) (47B25) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37)

Cites Work

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• On the Lax-Phillips scattering matrix of the abstract wave equation
• Phillips symmetric operators and their extensions
• Harmonic analysis of operators on Hilbert space
• On a class of linear operators in Hilbert space
• An Introduction to Operators on the Hardy-Hilbert Space
• On the S-matrix of Schrödinger operator with nonlocal δ-interaction
• On $J$-self-adjoint extensions of the Phillips symmetric operator